On the Bott-Cattaneo's Chern-Simons perturbation theory
SPEAKER | Tatsuro Shimizu
DATE | May 11(Thu), 2017
TIME | 15:50
PLACE | 8101
ABSTRACT | Chern-Simons perturbation theory was established by Kontsevich, Axelrod and Singer. There are some invariants inspired by Chern-Simons perturbation theory. In this talk, I revisit Bott-Cattaneo's Chern--Simons perturbation theory. Their theory gives an invariant of a 3-manifold with a flat connection of the trivial $G$-bundle over the 3-manifold, where $G$ is a semi-simple Lie group. I give a modified construction of Bott-Cattaneo's Chern-Simons perturbation theory, and show a few examples of this invariant.